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Finding the Fourth Proportional to 6,385.68, 9,570.02 and 3,092.22

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Solution

The fourth proportional to 6,385.68, 9,570.02 and 3,092.22 is: 4,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.68 : 9,570.02 = 3,092.22 : x
  2. Step 2: Convert to fraction form
    6,385.68/9,570.02 = 3,092.22/x
  3. Step 3: Cross multiply
    6,385.68x = 9,570.02 × 3,092.22
  4. Step 4: Simplify right side
    6,385.68x = 29,592,591.78
  5. Step 5: Solve for x
    x = 29,592,591.78/6,385.68
  6. Step 6: Final answer
    x = 4,634.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.